2021 · Q41
Consider the following inequalities:
- 1sin 1° < cos 57°;
- 2cos 60° > sin 57°.
Which of the above is/are correct?
Elementary MathematicsTrigonometry
- A1 only
- B2 only
- CBoth 1 and 2
- DNeither 1 nor 2
Explanation
Statement 1: cos 57° = sin 33° > sin 1°, so it is true. Statement 2: cos 60° = 0.5 while sin 57° ≈ 0.839, so cos 60° > sin 57° is false. Only statement 1 is correct. Hence option A.